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Two vessels A and B contain spirit and water in the ratio 5 : 2 and 7 : 6 respectively. Find the ratio in which these mixture be mixed to obtain a new mixture in vessel C containing spirit and water in the ration 8 : 5 ?

Two vessels A and B contain spirit and water in the ratio 5 : 2 and 7 : 6 respectively. Find the ratio in which these mixture be mixed to obtain a new mixture in vessel C containing spirit and water in the ration 8 : 5 ? Correct Answer 7:9

Let the C.P. of spirit be Re. 1 litre.Spirit in 1 litre mix. of A = 5/7 litre, C.P. of 1 litre mix. in A = Re. 5/7Spirit in 1 litre mix. of B = 7/13 litre, C.P. of 1 litre mix. in B = Re. 7/13Spirit in 1 litre mix. of C = 8/13 litre, Mean price = Re. 8/13.

 

By the rule of alligation, we have:Cost of 1 litre mixture in A                          Cost of 1 litre mixture in B

 

 

 Required ratio = 1/13 : 9/91 = 7:9.

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